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Results tagged with moduli-spaces
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user 391
Given a concrete category C, with objects denoted Obj(C), and an equivalence relation ~ on Obj(C) given by morphisms in C. The moduli set for Obj(C) is the set of equivalence classes with respect to ~; denoted Iso(C). When Iso(C) is an object in the category Top, then the moduli set is called a moduli space.
5
votes
Accepted
Is there a relationship between the moduli space of spatial polygons and the moduli space of...
Yes.
I assume that your $M_n$ is what is more usually denoted $\overline{M_{0,n}}$. Then the answer is yes, there is a natural map $\overline{M_{0,n}} \twoheadrightarrow M_L$, for each $L$. Specifica …
- 27.9k
2
votes
Accepted
Moduli space of flat connections over a torus
Check out Almost commuting elements in compact Lie groups by Borel, Freedman, and Morgan.
"We describe the components of the moduli space of conjugacy classes of commuting pairs and triples of elemen …
- 27.9k
9
votes
The space of varieties between two given varieties
This is more reasonable if you insist that $C$ have a given Hilbert polynomial. Otherwise, consider the case $A = \emptyset$, $B = \bf P = \bf P^2$. Then you have curves of every degree, so your $V(A, …
- 27.9k